Integrability of reciprocals of the Green’s function for elliptic operators: counterexamples

Cerutti, M. Cristina

doi:10.1090/S0002-9939-1993-1145941-1

Integrability of reciprocals of the Green’s function for elliptic operators: counterexamples
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by M. Cristina Cerutti PDF

Proc. Amer. Math. Soc. 119 (1993), 125-134 Request permission

Abstract:

We construct examples of elliptic operators for which the set of points where the reciprocal $1/g(x, \cdot )$ of the Green’s function is not locally integrable in a dense set of points.

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